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Finding the Fourth Proportional to 99.39, 148.68 and 76.31

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Solution

The fourth proportional to 99.39, 148.68 and 76.31 is: 114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.39 : 148.68 = 76.31 : x
  2. Step 2: Convert to fraction form
    99.39/148.68 = 76.31/x
  3. Step 3: Cross multiply
    99.39x = 148.68 × 76.31
  4. Step 4: Simplify right side
    99.39x = 11,345.77
  5. Step 5: Solve for x
    x = 11,345.77/99.39
  6. Step 6: Final answer
    x = 114.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.